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arXiv 1201.4053hep-phnucl-th
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π介子在核上的衍射中微子产生:色偶极描述下的阿德勒关系

Diffractive neutrino-production of pions on nuclei: Adler relation within the color-dipole description

B. Z. Kopeliovich, Ivan Schmidt, M. Siddikov

摘要:

利用色偶极表象和路径积分技术研究了相干性对π介子中微子产生的影响。如果细胞核保持完整,则该过程由两个长度尺度的相互作用控制。一个与π介子质量有关,相当长(在低Q^2时),而另一个与重轴矢量态有关,短得多。发现阿德勒关系在所有能量下都被破坏,但在ν> 10 GeV时尤为强烈,此时截面被抑制了~A^{-1/3}。相反,在反冲核分裂成碎片的过程中,阿德勒关系式在低能量下被强烈破坏,此时截面增加了~A^{1/3}倍,但在较高能量下具有合理的精度,此时所有相干长度尺度都变长了。

英文摘要:

Effects of coherence in neutrino-production of pions off nuclei are studied employing the color dipole representation and path integral technique. If the nucleus remains intact, the process is controlled by the interplay of two length scales. One is related to the pion mass and is quite long (at low Q^2), while the other, associated with heavy axial-vector states, is much shorter. The Adler relation is found to be broken at all energies, but especially strongly at ν> 10 GeV, where the cross section is suppressed by a factor ~A^{-1/3}. On the contrary, in a process where the recoil nucleus breaks up into fragments, the Adler relation turns out to be strongly broken at low energies, where the cross section is enhanced by a factor ~A^{1/3}, but has a reasonable accuracy at higher energies, where all the coherence length scales become long.

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